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Tau-function formalism for supersymmetric KP hierarchies (1995)

Martínez Alonso, Luis ; Medina Reus, Elena

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 36 (1995), S. 4898-4913

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: We consider the Manin–Radul and Jacobian supersymmetric KP hierarchies from the point of view of the tau-function formalism. Solutions of their associated systems of Sato equations are characterized in terms of correlation functions of supersymmetric vertex operators of superghost type. The expression of the wave functions of these hierarchies in terms of tau-functions is obtained and the corresponding bilinear identities are established. Explicit methods for generating soliton and rational solutions are given. © 1995 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530927

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